4 |x = 5| = 20
First, divide both sides by 4. / Your problem should look like: [tex]|x + 5| = 5[/tex]
Second, simplify [tex] \frac{20}{4} [/tex] to 5. / Your problem should look like: [tex]|x + 5| = 5[/tex]
Third, break the problem into 2 equations. / x + 5 = 5 and -(x + 5) = 5
Fourth, solve x + 5 = 5. /
Cancel 5 on both sides. / [tex]x = 0[/tex]
Fifth, solve -(x + 5) = 5 /
Simplify brackets / [tex]-x - 5 = 5[/tex]
Add 5 to both sides / [tex]-x = 5 + 5[/tex]
Add 5 + 5 / [tex]-x = 10[/tex]
Multiply both sides by -1 / [tex]x = -10[/tex]
x = -10
Sixth, collect the solutions to the problems. / Your problem should look like: [tex]x = -10, 0[/tex]
Answer: x = -10, 0
